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Finding the Fourth Proportional to 6,520.92, 9,767.52 and 3,013.80

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Solution

The fourth proportional to 6,520.92, 9,767.52 and 3,013.80 is: 4,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.92 : 9,767.52 = 3,013.80 : x
  2. Step 2: Convert to fraction form
    6,520.92/9,767.52 = 3,013.80/x
  3. Step 3: Cross multiply
    6,520.92x = 9,767.52 × 3,013.80
  4. Step 4: Simplify right side
    6,520.92x = 29,437,351.78
  5. Step 5: Solve for x
    x = 29,437,351.78/6,520.92
  6. Step 6: Final answer
    x = 4,514.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.